Step by step what is 3a+4b+5a+6
1 answer:
You might be interested in
<span>A) 9xy²</span>
Answer:
0.48% probability that all four are new
Step-by-step explanation:
The homes are chosen "without replacement", which means that after a home is visited, it is not elegible to be visited again. So we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Total of 10 homes, so N = 10.
We want 4 new, so x = 4.
In total, there are 4 new, so k = 4.
Sample of four homes, so n = 4.
Then
0.48% probability that all four are new
We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.
We can generate equivalent fractions by multiplying both numerator and denominator by the same number.
So, we have
Similarly, we have
Now we can sum the fractions: